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Finding the Fourth Proportional to 2,440.37, 3,658.40 and 880

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Solution

The fourth proportional to 2,440.37, 3,658.40 and 880 is: 1,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.37 : 3,658.40 = 880 : x
  2. Step 2: Convert to fraction form
    2,440.37/3,658.40 = 880/x
  3. Step 3: Cross multiply
    2,440.37x = 3,658.40 × 880
  4. Step 4: Simplify right side
    2,440.37x = 3,219,392
  5. Step 5: Solve for x
    x = 3,219,392/2,440.37
  6. Step 6: Final answer
    x = 1,319.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.